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Finding the Fourth Proportional to 21,025.38, 31,538.88 and 7,174.38

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Solution

The fourth proportional to 21,025.38, 31,538.88 and 7,174.38 is: 10,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,025.38 : 31,538.88 = 7,174.38 : x
  2. Step 2: Convert to fraction form
    21,025.38/31,538.88 = 7,174.38/x
  3. Step 3: Cross multiply
    21,025.38x = 31,538.88 × 7,174.38
  4. Step 4: Simplify right side
    21,025.38x = 226,271,909.89
  5. Step 5: Solve for x
    x = 226,271,909.89/21,025.38
  6. Step 6: Final answer
    x = 10,761.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.